// Numbas version: exam_results_page_options
{"name": "Basic Integration", "extensions": [], "custom_part_types": [], "resources": [], "navigation": {"allowregen": true, "showfrontpage": false, "preventleave": false, "typeendtoleave": false}, "question_groups": [{"pickingStrategy": "all-ordered", "questions": [{"rulesets": {}, "metadata": {"description": "<p>Integration techniques for monomials and simple polynomials.</p>", "licence": "Creative Commons Attribution 4.0 International"}, "preamble": {"css": "", "js": ""}, "parts": [{"prompt": "<p>$\\int_{0}^{1}{x^{\\var{n}}}$</p>", "minValue": "1/(n+1)", "mustBeReduced": false, "showCorrectAnswer": true, "marks": 1, "allowFractions": true, "variableReplacementStrategy": "originalfirst", "type": "numberentry", "scripts": {}, "maxValue": "1/(n+1)", "mustBeReducedPC": 0, "variableReplacements": [], "showFeedbackIcon": true, "correctAnswerStyle": "plain", "notationStyles": ["plain", "en", "si-en"], "correctAnswerFraction": false}, {"prompt": "<p>$\\int_{\\var{a}}^{\\var{b}}{x^{\\var{n}}}$</p>", "minValue": "(b^(n+1)-a^(n+1))/(n+1)", "mustBeReduced": false, "showCorrectAnswer": true, "marks": 1, "allowFractions": true, "variableReplacementStrategy": "originalfirst", "type": "numberentry", "scripts": {}, "maxValue": "(b^(n+1)-a^(n+1))/(n+1)", "mustBeReducedPC": 0, "variableReplacements": [], "showFeedbackIcon": true, "correctAnswerStyle": "plain", "notationStyles": ["plain", "en", "si-en"], "correctAnswerFraction": false}], "variablesTest": {"maxRuns": 100, "condition": ""}, "ungrouped_variables": ["a", "b", "n"], "functions": {}, "tags": [], "statement": "<p>Find the following definite integrals.</p>", "variables": {"n": {"templateType": "randrange", "name": "n", "description": "<p>the power on x</p>", "definition": "random(2..10#1)", "group": "Ungrouped variables"}, "b": {"templateType": "randrange", "name": "b", "description": "<p>upper bound of integration</p>", "definition": "random(4..8#1)", "group": "Ungrouped variables"}, "a": {"templateType": "randrange", "name": "a", "description": "<p>lower bound of integration</p>", "definition": "random(0..3#1)", "group": "Ungrouped variables"}}, "variable_groups": [], "advice": "<p>$\\int_a^bx^n=\\frac{b^{n+1}-a^{n+1}}{n+1}$</p>", "name": "Basic Integration", "extensions": [], "type": "question", "contributors": [{"name": "Derek Klinge", "profile_url": "https://numbas.mathcentre.ac.uk/accounts/profile/2348/"}]}]}], "contributors": [{"name": "Derek Klinge", "profile_url": "https://numbas.mathcentre.ac.uk/accounts/profile/2348/"}]}